Geometric Applications of Fourier Series and Spherical Harmonics

Geometric Applications of Fourier Series and Spherical Harmonics
Author :
Publisher : Cambridge University Press
Total Pages : 343
Release :
ISBN-10 : 9780521473187
ISBN-13 : 0521473187
Rating : 4/5 (87 Downloads)

Book Synopsis Geometric Applications of Fourier Series and Spherical Harmonics by : H. Groemer

Download or read book Geometric Applications of Fourier Series and Spherical Harmonics written by H. Groemer and published by Cambridge University Press. This book was released on 1996-09-13 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive presentation of geometric results, primarily from the theory of convex sets, that have been proved by the use of Fourier series or spherical harmonics. An important feature of the book is that all necessary tools from the classical theory of spherical harmonics are presented with full proofs. These tools are used to prove geometric inequalities, stability results, uniqueness results for projections and intersections by hyperplanes or half-spaces and characterisations of rotors in convex polytopes. Again, full proofs are given. To make the treatment as self-contained as possible the book begins with background material in analysis and the geometry of convex sets. This treatise will be welcomed both as an introduction to the subject and as a reference book for pure and applied mathematics.


Geometric Applications of Fourier Series and Spherical Harmonics Related Books

Geometric Applications of Fourier Series and Spherical Harmonics
Language: en
Pages: 343
Authors: H. Groemer
Categories: Mathematics
Type: BOOK - Published: 1996-09-13 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

This book provides a comprehensive presentation of geometric results, primarily from the theory of convex sets, that have been proved by the use of Fourier seri
Geometric Applications of Fourier Series and Spherical Harmonics
Language: en
Pages: 343
Authors: H. Groemer
Categories: MATHEMATICS
Type: BOOK - Published: 2014-05-22 - Publisher:

DOWNLOAD EBOOK

A full exposition of the classical theory of spherical harmonics and their use in proving stability results.
Geometric Applications of Fourier Series and Spherical Harmonics
Language: en
Pages: 0
Authors: Helmut Groemer
Categories: Mathematics
Type: BOOK - Published: 2009-09-17 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

This is the first comprehensive exposition of the application of spherical harmonics to prove geometric results. The author presents all the necessary tools fro
Geometric Tomography
Language: en
Pages: 448
Authors: Richard J. Gardner
Categories: Art
Type: BOOK - Published: 1995-09-29 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

Develops the new field of retrieving information about geometric objects from projections on planes.
Fourier Analysis and Convexity
Language: en
Pages: 268
Authors: Luca Brandolini
Categories: Mathematics
Type: BOOK - Published: 2011-04-27 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

Explores relationship between Fourier Analysis, convex geometry, and related areas; in the past, study of this relationship has led to important mathematical ad